Symplectic structures on Heisenberg-type nilmanifolds
type: Item
instance of: scholarly article
title: Symplectic structures on Heisenberg-type nilmanifolds
zbMATH Open document ID: 0962.53030
author: Paulo Tirao
author: I. G. Dotti
published in: Manuscripta Mathematica
publication date: 2000-11-13T00:00:00Z
review text: The authors consider certain nilmanifolds of the form \(T \times\Gamma \setminus N\), where \(T\) is a torus and \(\Gamma\) a discrete co-compact subgroup of a 2-step nilpotent Lie group \(N\). The exterior powers of Lie algebra, \(\wedge^* {\mathfrak n}\), are used to study the existence and classification of symplectic and Kähler structures on \(T\times \Gamma \setminus N\).
reviewed by: Meng-Kiat Chuah
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 53D05
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 1528518
zbMATH Keywords: symplectic structure
zbMATH Keywords: nilmanifolds
zbMATH Keywords: Kähler structures
MaRDI profile type: Publication
full work available at URL: s002291020383
OpenAlex ID: W1991765891
DOI: 10.1007/S002291020383
description: scientific article; zbMATH DE number 1528518